{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CA3FGZPX7QUAHIKZUGWD4RTTRT","short_pith_number":"pith:CA3FGZPX","canonical_record":{"source":{"id":"1109.6366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-28T23:04:51Z","cross_cats_sorted":[],"title_canon_sha256":"49d116de4d49ed368a4747fd55d630a572ef0529d5dd5ac7637ed31b3f3d01e9","abstract_canon_sha256":"4e27e823541320e4dc67a6629731d9130ad149db2a4b25d6d0fc865ec56e0a98"},"schema_version":"1.0"},"canonical_sha256":"10365365f7fc2803a159a1ac3e46738ce3c03642f1f421b3fabf28239ceccda1","source":{"kind":"arxiv","id":"1109.6366","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6366","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6366v2","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6366","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"pith_short_12","alias_value":"CA3FGZPX7QUA","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CA3FGZPX7QUAHIKZ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CA3FGZPX","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CA3FGZPX7QUAHIKZUGWD4RTTRT","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-28T23:04:51Z","cross_cats_sorted":[],"title_canon_sha256":"49d116de4d49ed368a4747fd55d630a572ef0529d5dd5ac7637ed31b3f3d01e9","abstract_canon_sha256":"4e27e823541320e4dc67a6629731d9130ad149db2a4b25d6d0fc865ec56e0a98"},"schema_version":"1.0"},"canonical_sha256":"10365365f7fc2803a159a1ac3e46738ce3c03642f1f421b3fabf28239ceccda1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:03.583966Z","signature_b64":"j10wAHyXBwlkFaGtozH3OUzpgRJQO1Mza1YabpITgyNKsfTYcA+eOyjG3+MmJc0mIUugJkslwdAJvyAzrVrwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10365365f7fc2803a159a1ac3e46738ce3c03642f1f421b3fabf28239ceccda1","last_reissued_at":"2026-05-18T02:40:03.583553Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:03.583553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6366","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:40:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vS+5lG9D5YU/dM/tJ7sg8eKOqzEfI0HTqTUy2vkwbHvSf/OKBoL+UHmcvFgfFYyZ/kV1CGOureok8YCd0XqhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:44:54.718394Z"},"content_sha256":"42c51ce9325f093867ad4d361fd22c004e2ca489274fc1190cc9eb9e68e545d9","schema_version":"1.0","event_id":"sha256:42c51ce9325f093867ad4d361fd22c004e2ca489274fc1190cc9eb9e68e545d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CA3FGZPX7QUAHIKZUGWD4RTTRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ensemble Inequivalence and the Spin-Glass Transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Kazutaka Takahashi, Zsolt Bertalan","submitted_at":"2011-09-28T23:04:51Z","abstract_excerpt":"We report on the ensemble inequivalence in a many-body spin-glass model with integer spin. The spin-glass phase transition is of first order for certain values of the crystal field strength and is dependent whether it was derived in the microcanonical or the canonical ensemble. In the limit of infinitely many-body interactions, the model is the integer-spin equivalent of the random-energy model, and is solved exactly. We also derive the integer-spin equivalent of the de Almeida-Thouless line."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6366","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:40:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fkOd+g2ezTW6KGmbEijrRGxOZfUB/8BWHVQNBVtJvf4vQ4ymQnadPwk+yvMHWu/sT8PzNJ9EMDrPoFTy3/DUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:44:54.718793Z"},"content_sha256":"44f99e9791c480d0dfa5d77a400bcb87f3e7a993fff2e22160afbb79b8948667","schema_version":"1.0","event_id":"sha256:44f99e9791c480d0dfa5d77a400bcb87f3e7a993fff2e22160afbb79b8948667"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CA3FGZPX7QUAHIKZUGWD4RTTRT/bundle.json","state_url":"https://pith.science/pith/CA3FGZPX7QUAHIKZUGWD4RTTRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CA3FGZPX7QUAHIKZUGWD4RTTRT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T09:44:54Z","links":{"resolver":"https://pith.science/pith/CA3FGZPX7QUAHIKZUGWD4RTTRT","bundle":"https://pith.science/pith/CA3FGZPX7QUAHIKZUGWD4RTTRT/bundle.json","state":"https://pith.science/pith/CA3FGZPX7QUAHIKZUGWD4RTTRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CA3FGZPX7QUAHIKZUGWD4RTTRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CA3FGZPX7QUAHIKZUGWD4RTTRT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4e27e823541320e4dc67a6629731d9130ad149db2a4b25d6d0fc865ec56e0a98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-28T23:04:51Z","title_canon_sha256":"49d116de4d49ed368a4747fd55d630a572ef0529d5dd5ac7637ed31b3f3d01e9"},"schema_version":"1.0","source":{"id":"1109.6366","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6366","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6366v2","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6366","created_at":"2026-05-18T02:40:03Z"},{"alias_kind":"pith_short_12","alias_value":"CA3FGZPX7QUA","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CA3FGZPX7QUAHIKZ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CA3FGZPX","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:44f99e9791c480d0dfa5d77a400bcb87f3e7a993fff2e22160afbb79b8948667","target":"graph","created_at":"2026-05-18T02:40:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We report on the ensemble inequivalence in a many-body spin-glass model with integer spin. The spin-glass phase transition is of first order for certain values of the crystal field strength and is dependent whether it was derived in the microcanonical or the canonical ensemble. In the limit of infinitely many-body interactions, the model is the integer-spin equivalent of the random-energy model, and is solved exactly. We also derive the integer-spin equivalent of the de Almeida-Thouless line.","authors_text":"Kazutaka Takahashi, Zsolt Bertalan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-28T23:04:51Z","title":"Ensemble Inequivalence and the Spin-Glass Transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6366","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:42c51ce9325f093867ad4d361fd22c004e2ca489274fc1190cc9eb9e68e545d9","target":"record","created_at":"2026-05-18T02:40:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4e27e823541320e4dc67a6629731d9130ad149db2a4b25d6d0fc865ec56e0a98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-09-28T23:04:51Z","title_canon_sha256":"49d116de4d49ed368a4747fd55d630a572ef0529d5dd5ac7637ed31b3f3d01e9"},"schema_version":"1.0","source":{"id":"1109.6366","kind":"arxiv","version":2}},"canonical_sha256":"10365365f7fc2803a159a1ac3e46738ce3c03642f1f421b3fabf28239ceccda1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10365365f7fc2803a159a1ac3e46738ce3c03642f1f421b3fabf28239ceccda1","first_computed_at":"2026-05-18T02:40:03.583553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:03.583553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j10wAHyXBwlkFaGtozH3OUzpgRJQO1Mza1YabpITgyNKsfTYcA+eOyjG3+MmJc0mIUugJkslwdAJvyAzrVrwCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:03.583966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6366","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42c51ce9325f093867ad4d361fd22c004e2ca489274fc1190cc9eb9e68e545d9","sha256:44f99e9791c480d0dfa5d77a400bcb87f3e7a993fff2e22160afbb79b8948667"],"state_sha256":"d09b152eab1c1afd4b8c90065ea8b6624791f9fe2937b35eec57acd5f57e3303"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zEtkajI1edIHdmtfkOworuy2mhOLlmnaviA5i5AQ/lRlp9SzYHJUtRZq8Hf+yz+sRTWFNkxsnCKTalrxQbnwAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T09:44:54.721379Z","bundle_sha256":"e02193a09a46b4d706136311f6985cdfa9ee9d566babf17adc2ea074f62da4d5"}}